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4224322344 = 23311891631103
BaseRepresentation
bin1111101111001010…
…0000101100101000
3101220101210210212010
43323302200230220
532122411303334
61535101515520
7206453101404
oct37362405450
911811723763
104224322344
1118785799a0
1299a872ba0
13524243628
142c1068104
1519acd60e9
hexfbca0b28

4224322344 has 128 divisors (see below), whose sum is σ = 11732428800. Its totient is φ = 1256808960.

The previous prime is 4224322337. The next prime is 4224322351. The reversal of 4224322344 is 4432234224.

4224322344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4224322337) and next prime (4224322351).

It is a nude number because it is divisible by every one of its digits.

4224322344 is a modest number, since divided by 322344 gives 4224 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3829297 + ... + 3830399.

It is an arithmetic number, because the mean of its divisors is an integer number (91659600).

Almost surely, 24224322344 is an apocalyptic number.

4224322344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224322344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866214400).

4224322344 is an abundant number, since it is smaller than the sum of its proper divisors (7508106456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4224322344 is a wasteful number, since it uses less digits than its factorization.

4224322344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1371 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 4224322344 is about 64994.7870525014. The cubic root of 4224322344 is about 1616.5371268202.

Adding to 4224322344 its reverse (4432234224), we get a palindrome (8656556568).

The spelling of 4224322344 in words is "four billion, two hundred twenty-four million, three hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 163 178 264 267 326 356 489 534 652 712 978 979 1068 1103 1304 1793 1956 1958 2136 2206 2937 3309 3586 3912 3916 4412 5379 5874 6618 7172 7832 8824 10758 11748 12133 13236 14344 14507 21516 23496 24266 26472 29014 36399 43032 43521 48532 58028 72798 87042 97064 98167 116056 145596 159577 174084 179789 196334 291192 294501 319154 348168 359578 392668 478731 539367 589002 638308 719156 785336 957462 1078734 1079837 1178004 1276616 1438312 1914924 1977679 2157468 2159674 2356008 3239511 3829848 3955358 4314936 4319348 5933037 6479022 7910716 8638696 11866074 12958044 15821432 16001221 23732148 25916088 32002442 47464296 48003663 64004884 96007326 128009768 176013431 192014652 352026862 384029304 528040293 704053724 1056080586 1408107448 2112161172 4224322344